---
res:
  bibo_abstract:
  - To model dynamical systems on networks with higher-order (non-pairwise) interactions,
    we recently introduced a new class of ordinary differential equations (ODEs) on
    hypernetworks. Here, we consider one-parameter synchrony breaking bifurcations
    in such ODEs. We call a synchrony breaking steady-state branch ‘reluctant’ if
    it is tangent to a synchrony space, but does not lie inside it. We prove that
    reluctant synchrony breaking is ubiquitous in hypernetwork systems, by constructing
    a large class of examples that support it. We also give an explicit formula for
    the order of tangency to the synchrony space of a reluctant steady-state branch.@eng
  bibo_authorlist:
  - foaf_Person:
      foaf_givenName: Sören
      foaf_name: von der Gracht, Sören
      foaf_surname: von der Gracht
      foaf_workInfoHomepage: http://www.librecat.org/personId=97359
    orcid: 0000-0002-8054-2058
  - foaf_Person:
      foaf_givenName: Eddie
      foaf_name: Nijholt, Eddie
      foaf_surname: Nijholt
  - foaf_Person:
      foaf_givenName: Bob
      foaf_name: Rink, Bob
      foaf_surname: Rink
  bibo_doi: 10.1098/rspa.2023.0945
  bibo_issue: '2301'
  bibo_volume: 480
  dct_date: 2024^xs_gYear
  dct_isPartOf:
  - http://id.crossref.org/issn/1364-5021
  - http://id.crossref.org/issn/1471-2946
  dct_language: eng
  dct_publisher: The Royal Society@
  dct_subject:
  - higher-order interactions
  - synchrony breaking
  - network dynamics
  - coupled cell systems
  dct_title: Higher-order interactions lead to ‘reluctant’ synchrony breaking@
...